• Corpus ID: 189927992

Hamilton's Dynamics in Complex Phase Space

@article{Shahzad2019HamiltonsDI,
  title={Hamilton's Dynamics in Complex Phase Space},
  author={Muhammad Adnan Shahzad},
  journal={arXiv: Classical Physics},
  year={2019}
}
  • M. Shahzad
  • Published 16 June 2019
  • Physics
  • arXiv: Classical Physics
We present the basic formulation of Hamilton dynamics in complex phase space. We extend the Hamilton's function by including the imaginary part and find out the corresponding Hamilton's canonical equation of motion. Example of simple harmonic motion are considered and the corresponding trajectory are plotted on real and complex phase space. 

Figures from this paper

References

SHOWING 1-6 OF 6 REFERENCES

On a General Method in Dynamics

A paper of Sir Hamilton originally published in the Philosophical Transactions of the Royal Society, 1834. Edited by David R. Wilkins.

VII. Second essay on a general method in dynamics

  • W. Hamilton
  • Mathematics
    Philosophical Transactions of the Royal Society of London
  • 1835
The former Essay contained a general method for reducing all the most important problems of dynamics to the study of one characteristic function, one central or radical relation. It was remarked at

Zur formalen Theorie der Funktionen von mehr komplexen Veränderlichen

Applied and Computational Complex Analysis

Classical mechanics